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Triangle read by rows. T = A000012 * A048993.
1

%I #18 May 25 2024 10:44:00

%S 1,1,1,1,2,1,1,3,4,1,1,4,11,7,1,1,5,26,32,11,1,1,6,57,122,76,16,1,1,7,

%T 120,423,426,156,22,1,1,8,247,1389,2127,1206,288,29,1,1,9,502,4414,

%U 9897,8157,2934,491,37,1

%N Triangle read by rows. T = A000012 * A048993.

%C Row sums = A005001 starting (1, 2, 4, 9, 24, 76, 279, ...).

%F A000012 * A048993 as infinite lower triangular matrices.

%F T(n, k) = Sum_{i=0..n-k} Stirling2(i+k, k). - _Igor Victorovich Statsenko_, May 25 2024

%e First few rows of the triangle:

%e 1;

%e 1, 1;

%e 1, 2, 1;

%e 1, 3, 4, 1;

%e 1, 4, 11, 7, 1;

%e 1, 5, 26, 32, 11, 1;

%e 1, 6, 57, 122, 76, 16, 1;

%e 1, 7, 120, 423, 426, 156, 22, 1;

%e ...

%Y Cf. A005001, A048993.

%K nonn,tabl

%O 0,5

%A _Gary W. Adamson_, Jan 29 2008

%E Offset set to 0 by _Peter Luschny_, May 25 2024